IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v96y2011i10p1360-1366.html
   My bibliography  Save this article

Vulnerability metrics and analysis for communities in complex networks

Author

Listed:
  • Rocco S., Claudio M.
  • Ramirez-Marquez, José Emmanuel

Abstract

This paper applies the problem of community detection in complex networks to identify sets of network elements that are critical to the connectivity of the network and its communities. Specifically, the paper defines a vulnerability set and value for each of the communities in a complex network. Also, for each community it identifies a value of relative vulnerability in comparison with the remaining communities. The approach allows to visualize/identify the critical elements of a complex network. This is an important first step for many recent problems arising in social networks, critical infrastructures and homeland security. By identifying these elements one can prioritize resource allocation to protect, interdict or improve performance in these types of systems. The sets and metrics introduced are illustrated with numerous examples and discussions. Based on the analysis of the examples the manuscript provides an intuitive description of a community's presence in the interior or periphery of a network.

Suggested Citation

  • Rocco S., Claudio M. & Ramirez-Marquez, José Emmanuel, 2011. "Vulnerability metrics and analysis for communities in complex networks," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1360-1366.
    • Handle: RePEc:eee:reensy:v:96:y:2011:i:10:p:1360-1366
    DOI: 10.1016/j.ress.2011.03.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832011000299
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2011.03.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. E. Zio, 2007. "From complexity science to reliability efficiency: a new way of looking at complex network systems and critical infrastructures," International Journal of Critical Infrastructures, Inderscience Enterprises Ltd, vol. 3(3/4), pages 488-508.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chen, Gaolin & Zhou, Shuming & Li, Min & Zhang, Hong, 2022. "Evaluation of community vulnerability based on communicability and structural dissimilarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    2. Fang, Yi-Ping & Zio, Enrico, 2013. "Unsupervised spectral clustering for hierarchical modelling and criticality analysis of complex networks," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 64-74.
    3. Ramirez-Marquez, Jose E. & Rocco, Claudio M. & Barker, Kash & Moronta, Jose, 2018. "Quantifying the resilience of community structures in networks," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 466-474.
    4. Meng, Xiangkun & Li, Xinhong & Wang, Weigang & Song, Guozheng & Chen, Guoming & Zhu, Jingyu, 2021. "A novel methodology to analyze accident path in deepwater drilling operation considering uncertain information," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    5. Lu, Lu & Xu, Zhengguo & Wang, Wenhai & Sun, Youxian, 2013. "A new fault detection method for computer networks," Reliability Engineering and System Safety, Elsevier, vol. 114(C), pages 45-51.
    6. Wen, Tao & Gao, Qiuya & Chen, Yu-wang & Cheong, Kang Hao, 2022. "Exploring the vulnerability of transportation networks by entropy: A case study of Asia–Europe maritime transportation network," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    7. Wen, Tao & Deng, Yong, 2020. "The vulnerability of communities in complex networks: An entropy approach," Reliability Engineering and System Safety, Elsevier, vol. 196(C).
    8. Saniee Monfared, Momhammad Ali & Jalili, Mahdi & Alipour, Zohreh, 2014. "Topology and vulnerability of the Iranian power grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 24-33.
    9. Ramirez-Marquez, J.E. & Rocco, C.M. & Moronta, J. & Gama Dessavre, D., 2016. "Robustness in network community detection under links weights uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 153(C), pages 88-95.
    10. Claudio M. Rocco & Kash Barker & Jose Moronta, 2022. "Determining the best algorithm to detect community structures in networks: application to power systems," Environment Systems and Decisions, Springer, vol. 42(2), pages 251-264, June.
    11. Zio, Enrico & Piccinelli, Roberta & Delfanti, Maurizio & Olivieri, Valeria & Pozzi, Mauro, 2012. "Application of the load flow and random flow models for the analysis of power transmission networks," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 102-109.
    12. Rocco, Claudio M. & Moronta, José & Ramirez-Marquez, José E. & Barker, Kash, 2017. "Effects of multi-state links in network community detection," Reliability Engineering and System Safety, Elsevier, vol. 163(C), pages 46-56.
    13. Li, Y.F. & Sansavini, G. & Zio, E., 2013. "Non-dominated sorting binary differential evolution for the multi-objective optimization of cascading failures protection in complex networks," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 195-205.
    14. Claudio M Rocco & Kash Barker & Jose Moronta & Jose E Ramirez-Marquez, 2018. "Community detection and resilience in multi-source, multi-terminal networks," Journal of Risk and Reliability, , vol. 232(6), pages 616-626, December.
    15. Dui, Hongyan & Meng, Xueyu & Xiao, Hui & Guo, Jianjun, 2020. "Analysis of the cascading failure for scale-free networks based on a multi-strategy evolutionary game," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    16. Alondra Chamorro & Tomás Echaveguren & Eduardo Allen & Marta Contreras & Joaquín Dagá & Hernan de Solminihac & Luis E. Lara, 2020. "Sustainable Risk Management of Rural Road Networks Exposed to Natural Hazards: Application to Volcanic Lahars in Chile," Sustainability, MDPI, vol. 12(17), pages 1-23, August.
    17. Wei, Daijun & Zhang, Xiaoge & Mahadevan, Sankaran, 2018. "Measuring the vulnerability of community structure in complex networks," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 41-52.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zio, E., 2009. "Reliability engineering: Old problems and new challenges," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 125-141.
    2. Di Maio, Francesco & Pettorossi, Chiara & Zio, Enrico, 2023. "Entropy-driven Monte Carlo simulation method for approximating the survival signature of complex infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    3. Zio, Enrico, 2016. "Challenges in the vulnerability and risk analysis of critical infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 137-150.
    4. Compare, Michele & Bellani, Luca & Zio, Enrico, 2019. "Optimal allocation of prognostics and health management capabilities to improve the reliability of a power transmission network," Reliability Engineering and System Safety, Elsevier, vol. 184(C), pages 164-180.
    5. Zio, E. & Golea, L.R., 2012. "Analyzing the topological, electrical and reliability characteristics of a power transmission system for identifying its critical elements," Reliability Engineering and System Safety, Elsevier, vol. 101(C), pages 67-74.
    6. F Cadini & E Zio & L R Golea & C A Petrescu, 2011. "Application of multi-objective genetic algorithms to two case studies of reliability efficiency analysis and optimal expansion of electrical transmission networks," Journal of Risk and Reliability, , vol. 225(3), pages 365-374, September.
    7. Zio, Enrico & Piccinelli, Roberta & Delfanti, Maurizio & Olivieri, Valeria & Pozzi, Mauro, 2012. "Application of the load flow and random flow models for the analysis of power transmission networks," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 102-109.
    8. Bukowski, L., 2016. "System of systems dependability – Theoretical models and applications examples," Reliability Engineering and System Safety, Elsevier, vol. 151(C), pages 76-92.
    9. Eusgeld, Irene & Kröger, Wolfgang & Sansavini, Giovanni & Schläpfer, Markus & Zio, Enrico, 2009. "The role of network theory and object-oriented modeling within a framework for the vulnerability analysis of critical infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 954-963.
    10. Zio, Enrico & Piccinelli, Roberta, 2010. "Randomized flow model and centrality measure for electrical power transmission network analysis," Reliability Engineering and System Safety, Elsevier, vol. 95(4), pages 379-385.
    11. La Rovere, Stefano & Vestrucci, Paolo, 2012. "Investigation of the structure of a networked system," Reliability Engineering and System Safety, Elsevier, vol. 107(C), pages 214-223.
    12. Cadini, F. & Zio, E. & Petrescu, C.A., 2010. "Optimal expansion of an existing electrical power transmission network by multi-objective genetic algorithms," Reliability Engineering and System Safety, Elsevier, vol. 95(3), pages 173-181.
    13. C M Rocco & J E Ramirez-Marquez & D E Salazar & I Hernandez, 2010. "Implementation of multi-objective optimization for vulnerability analysis of complex networks," Journal of Risk and Reliability, , vol. 224(2), pages 87-95, June.
    14. Colin Turner, 2018. "The governance of polycentric national infrastructure systems: Evidence from the UK National Infrastructure Plan," Environment and Planning C, , vol. 36(3), pages 513-529, May.
    15. Burgherr, Peter & Eckle, Petrissa & Hirschberg, Stefan, 2012. "Comparative assessment of severe accident risks in the coal, oil and natural gas chains," Reliability Engineering and System Safety, Elsevier, vol. 105(C), pages 97-103.
    16. Williams, James Bryan, 2021. "Critical flow centrality measures on interdependent networks with time-varying demands," International Journal of Critical Infrastructure Protection, Elsevier, vol. 35(C).
    17. Zohre Alipour & Mohammad Ali Saniee Monfared & Enrico Zio, 2014. "Comparing topological and reliability-based vulnerability analysis of Iran power transmission network," Journal of Risk and Reliability, , vol. 228(2), pages 139-151, April.
    18. Fang, Chao & Marle, Franck & Zio, Enrico & Bocquet, Jean-Claude, 2012. "Network theory-based analysis of risk interactions in large engineering projects," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 1-10.
    19. Fang, Yi-Ping & Zio, Enrico, 2013. "Unsupervised spectral clustering for hierarchical modelling and criticality analysis of complex networks," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 64-74.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:96:y:2011:i:10:p:1360-1366. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.